Question

Find the median of the following observations

46,64,87,41,58,77,35,90,55,92,33.If 92 is replaced by 99 and 41 by 43 in the above data,find the new median?

Answer 1

46,64,87,41,58,77,35,90,55,92,33

$Writinginascendingorder=33,35,41,46,55,58,64,77,87,90,92Heren=11whichanodd\therefore Median=\frac{n+1}{2}thterm=\frac{11+1}{2}=\frac{12}{2}=6thterm=58$

By replacing 92 by 93 and 41 by 43,then new order will be 33,35,41,46,55,58,64,77,87,90,92

$\therefore Median=6thterm=58$